where \(\widehat{\mathbf {s}}, \mathbf {s}\in \mathbb {R}^{B \times T}\) , \(\widehat{\mathbf {n}}, \mathbf {n}\in \mathbb {R}^{(M-1) \times B \times T}\) , \({\mathbf {\theta }_{\mathcal {S}}}\)  are: the estimated speech signals, the clean speech targets, the estimated noise signals, the noise targets and the parameters of the model, respectively. In this work, we force the estimated sources \(\widehat{\mathbf {s}}, \widehat{\mathbf {n}}\)  to add up to the initial input mixtures \({\mathbf {x}}\)  using a mixture consistency layer [1]}.
